Chapter 6 - Systems of Equations and Inequalities - 6-5 Linear Inequalities - Practice and Problem-Solving Exercises - Page 394: 35

$250x + 475y \leq 6400$ The less than symbol is used since we do not want to go over the limit of 6400 pounds. Yes, 12 refrigerators and 8 pianos would overload the truck. The left side of the boundary line should be shaded.

$250x + 475y \leq 6400$ (12,8) $250x + 475y \leq 6400$ $250*12 + 475*8 \leq 6400$ $3000 + 475*8 \leq 6400$ $3000 + 475*8 -3000\leq 6400-3000$ $475*8 \leq 3400$ $3800 \leq 3400$ (false statement)